Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm
Delaosa, Connor and Pestana, Jennifer and Weiss, Stephan and Proudler, Ian (2020) Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm. In: International Conference on Sensor Signal Processing for Defence, 2020-09-15 - 2020-09-16. (In Press)
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Abstract
This paper explores how angle of arrival (AoA) estimation using the multiple signal classification (MUSIC) algorithm, is affected by estimation errors in space-time covariance matrix. In particular, we explore how this estimation error perturbs the signal-plus-noise and noise-only subspaces of this matrix, and how this subsequently affects the performance of MUSIC for AoA estimation. This subspace perturbation is shown to depend on the space-time covariance matrix itself, the sample size over which it is estimated, as well as the distance of the smallest signal-related eigenvalue to the noise floor. We link a bound of this perturbation to a bound on MUSIC performance, and demonstrate its utility for AoA estimation in simulations.
Creators(s): |
Delaosa, Connor, Pestana, Jennifer ![]() ![]() | Item type: | Conference or Workshop Item(Paper) |
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ID code: | 73282 |
Keywords: | space-time covariance matrix, parahermitian matrix, cross-correlation sequence, angle of arrival, multiple signal classification, Electrical engineering. Electronics Nuclear engineering, Electrical and Electronic Engineering |
Subjects: | Technology > Electrical engineering. Electronics Nuclear engineering |
Department: | Faculty of Engineering > Electronic and Electrical Engineering Technology and Innovation Centre > Sensors and Asset Management Strategic Research Themes > Measurement Science and Enabling Technologies Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 22 Jul 2020 11:52 |
Last modified: | 20 Jan 2021 15:09 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/73282 |
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